Question

A right rectangular prism has a lenghth of 6cm, a width of 8cm, and a height of 4cm. The dimensions of the prism are doubled. What is the surface area of the enlarged prism? Enter your answer in the box. -----cm^2

Answer 1

The formula for the surface area for a rectangular prism is:

A = 2(wl+hl+hw)

Where:
w = width
l = length
h = height

If you double the dimensions, all you need to do is multiply the dimensions by 2.

w = 8 cm * 2 = 16 cm
l = 6cm * 2 = 12 cm
h = 4cm * 2 = 8 cm

Now put those in the equation:

A = 2(wl + hl + hw)
= 2((26)(12)+(8)(12)+(8)(16))
=2 (312 + 96 + 128)
= 2(536)
= 1,072 cm^2